Problem 37
Kaimi had no money at all when he cashed his paycheck. As he left the bank, he bought a piece of candy for
a nickel from a machine. Later, he realized that the money in his pocket was equal to twice his paycheck.
After a quick calculation, he figured out what happened: the teller accidentally switched the dollars and
cents. How much was Kaimi supposed to be paid, and what did the teller give him? Justify your answer.

Answer:

Its 150

Step-by-step explanation:

Answer:

the slope is -5/3

Step-by-step explanation:

Find slope of the line using the formula: slope= difference between vertical changes / difference between horizontal changes= (-9-1) / 2-(-4) = -10/6=-5/3

Answer:

19) slope = undefined

20) slope = \(\mathsf{-\frac{5}{3} }\)

Step-by-step explanation:

Given the graph of a vertical line, with coordinates of (-2, 3) and (-2, -3):

Since the formula for solving the slope of a line is given by:

\(\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}\)

This implies that a vertical line has no horizontal change. Therefore, the value of the denominator in the given formula will be: x₂ - x₁ = 0.  This division by zero is an undefined operation, hence the slope of a vertical line is undefined.  

Given the coordinates, (2, -9) and (-4, 1), substitute these values into the following slope formula:

\(\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}\)

Let (x₁, y₁) = (2, -9)

      (x₂, y₂) = (-4, 1)

Substitute these values into the given formula:

\(\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}\)

\(\mathsf{m = \frac {1\: -\: (-9)}{-4\: -\:2}\:=\:\frac {1\: +\:9}{-6}\:=\:\frac{10}{-6}\:=\:-\frac{5}{3}}\)

Therefore, the slope of the line is,  \(\mathsf{m\:=\:-\frac{5}{3} }\).

Answer:

The answer is D and B

Step-by-step explanation:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ1

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Check the picture below.

Answer:

One Answer

Step-by-step explanation:

Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.

4-2/12-8 = 4/2 = 2.

Then that another point and plug it in to the equation, y = 2x + b.

i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.

now you found your answer. y=2x + -14.

We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

To learn more about number intervals visit:

https://brainly.com/question/13708942

#SPJ4

Answer:

it can be 100 because percentages are out of 100

Answer:

Okays so John is going 50mph

50 is 1 hour

100 is 2 hours

150 is 3 hours

200 is 4 hours

250 is 5 hours

300 is 6 hours

350 is 7 hours

400 is 8 hours

450 is 9 hours

500 is 10 hours

550 is 11 hours

600 is 12 hours

650 is 13 hours

700 is 14 hours

750 is 15 hours

He will go 750 miles from his starting point in 15 hours

The answer is: 750 miles

I hope this helps you!

Answer:

Step-by-step explanation:

Calculate the drop-out rate given the data:

  125/1767  x 100% = 7.1 %   drop out rate     <==== indicates it might be increasing since it is greater than the usual 6.5 % drop out rate.

Answer:

11

Step-by-step explanation:

11 + 10 = 21

Answer:

Drag the ruler over each side of the triangle to find its length.

The length of AB is

✔ 5

.

The length of BC is

✔ 4

.

Drag the protractor over each angle to find its measure.

The measure of angle C is

✔ 90°

.

The measure of angle B is

✔ 36.9°

.

Step-by-step explanation:

The length of sides AB and BC of the triangle will be 5 units and 4 units. And the measure of angle C and angle B of the triangle will be 90° and 37°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Drag the ruler over each side of the triangle to find its length.

The length of side AB of the triangle is 5 units.

The length of side BC of the triangle is 4 units.

Drag the protractor over each angle to find its measure.

The measure of angle C of the triangle is 90°.

The measure of angle B of the triangle is 37°.

The length of sides AB and BC of the triangle will be 5 units and 4 units.

And the measure of angle C and angle B of the triangle will be 90° and 37°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

Answer:

The writing is blurry. Please snap again in closer range

Final Answer: The inverse of f (x)=7x-4 is f^-1 (x)= (x+4)/7

They make the minimum payment in month one, which is just the interest from the value of the mortgage. That means that the initial $149.000 has no change, if the value of the mortgage has no change, and the interest neither, then the interest in month two will be $682.92.

Answer:

f(x)=11x-22

f(3)=11(3)-22

11(3)-22

33-22=11

Answer:

1 7/20

Step-by-step explanation:

3/4 + 3/5 =

27/20 = 1 7/20

Answer:

Ok so write them down and MAKE SURE THE DENOMINATOR is the same and whatever to do to the bottom you must do to the top

Step-by-step explanation:

3/4+3/5 so then the LCM of both the numbers is 20 so it's 15/20+15/20=30/20 but then how many times does 30 got into 20 that's one how many is left 10 so the awnser is 1 10/20

Answer: 60m

Step-by-step explanation: V= b x h x l

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

For more questions on rhombus

https://brainly.com/question/20627264

#SPJ8

The estimated slope is approximately 2.344

The given table is presented as follows;

\(\begin{array}{ccc}Number \ of Bids &&Price \ in \ Dollars\\1&&23\\2&&34\\4&&44\\9&&46\\10&&50\end{array}\)

The regression line formula to be considered = \(\bar u = b_0 + b\cdot \bar x\)

The required parameter is;

The estimated slope

The method to find the estimate slope;

The least squares regression formula (method) is presented as follows;

\(\bar u = b_0 + b\cdot \bar x\)

Where;

b₀ = The y-intercept

\(\mathbf{ b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right) }{\sum \left(x_i - \bar x\right )^2 } = The \ estimated \ slope}\)

From MS Excel, we have;

\(\bar x\) = 5.2, \(\bar u\) = 39.4

\(\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right)\) = 156.6

\({\sum \left(x_i - \bar x\right )^2 }\) = 66.8

Therefore;

The estimated slope, b = 156.6/66.8 ≈ 2.344 (by rounding the answer to three decimal places)

Learn more about regression line here;

https://brainly.com/question/23528764

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

4(1/4 x)

Step-by-step explanation:

I had this question.

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

for such more question on linear model

https://brainly.com/question/9753782

#SPJ11

Answer:

4 in

Step-by-step explanation:

Given the following data;

Length = 16 in

Width = 20 in

To find the scale factor;

Scale = 16:20

Dividing by 4, we have;

Scale = 4:5

Therefore, the scale factor is 4 in.

Scale = scale factor * ratio

Scale = 4 * (4:5)

Scale = 16:20

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

Read more about volume here:https://brainly.com/question/18994842

#SPJ1

With the given coordinates (-3, 1) and (0, 4), the slope is 1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Here,

1) (-3, 1) and (0, 4)

Δy=(4-1)=3 and Δx=(0(-3))=3

So, m= Δy/Δx =3/3 =1

2) (-6, 27) and (2, 3)

Δy=(3-27)=24 and Δx=(2-(-6))=8

So, m= Δy/Δx =24/8 =3

3) (5, 27) and (0, -8)

Δy=(-8-27)=-35 and Δx=(0-5)=-5

So, m= Δy/Δx =(-35)/(-5) =7

4) (1, 0) and (-7, -24)

Δy=(-24-0)=-24 and Δx=(-7-1)=-8

So, m= Δy/Δx =(-24)/(-8) =3

5) (-3, 20) and (-5, 32)

Δy=(32-20)=12 and Δx=(-5-(-3))=-2

So, m= Δy/Δx =12/(-2) =-6

6) (5, -4) and (0, -9)

Δy=(-9-(-4))=-5 and Δx=(0-5)=-5

So, m= Δy/Δx =(-5)/(-5) =1

7) (-8, -2) and (-1, -4.5)

Δy=(-4.5-(-2))=-2.5 and Δx=(-1-(-8))=7

So, m= Δy/Δx = -2.5/7

8) (-7, -2) and (6, 11)

Δy=(11-(-2))=13 and Δx=(6-(-7))=13

So, m= Δy/Δx =13/13 =1

9) (-2, -6.5) and (4, -8)

Δy=(-8-(-6.5))= -1.5 and Δx=(4-(-2))=6

So, m= Δy/Δx = -1.5/6 = -1/4

Therefore, slope of a line with the coordinates (-7, -2) and (6, 11) is 1.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

The interval of convergence for this power series is (-∞, ∞) and the radius of convergence is infinite.

The power series representation of the function f(x) = 4 - 3x centered at x = 0 is given by the formula:

\(f(x) = [infinity]n=0 (4 (-3)^n * x^n)\)

This power series can be used to represent the function for values of x in the interval of convergence. The interval of convergence for this power series is calculated by taking the limit of the absolute value of the coefficient of the highest power of x as n approaches infinity. In this case, the coefficient of the highest power of x is \(4(-3)^n\), so the limit of the absolute value of this coefficient is \(|4(-3)^∞|\) = 0. Thus, the interval of convergence for this power series is (-∞, ∞).

We can also calculate the radius of convergence for this power series. The radius of convergence is the distance from the center of the series, in this case x = 0, to the point at which the series diverges. To calculate the radius of convergence we can use the ratio test. The ratio test states that if \(lim |a(n+1)/a(n)| < 1,\) then the series converges. The ratio of any two consecutive terms in this series is \(|4(-3)^(n+1)/4(-3)^n| = |-3|\), which is less than 1. Thus, the radius of convergence for this power series is infinite.

In conclusion, the power series representation of the function f(x) = 4 - 3x centered at x = 0 is given by the formula: \(f(x) = [infinity]n=0 (4 (-3)^n * x^n)\). The interval of convergence for this power series is (-∞, ∞) and the radius of convergence is infinite.

Learn more about interval of convergence here:

https://brainly.com/question/14394994

#SPJ4